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Finding the Third Proportional to 34,075.13 and 69,535.13

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Solution

The third proportional to 34,075.13 and 69,535.13 is: 141,896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,075.13 : 69,535.13 = 69,535.13 : x
  2. Step 2: Convert to fraction form
    34,075.13/69,535.13 = 69,535.13/x
  3. Step 3: Cross multiply
    34,075.13x = 69,535.13 × 69,535.13
  4. Step 4: Simplify right side
    34,075.13x = 4,835,133,608.77
  5. Step 5: Solve for x
    x = 4,835,133,608.77/34,075.13
  6. Step 6: Final answer
    x = 141,896.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.